Find the equation of the line that passes through (3, −8) and is parallel to \(2x + 3y = 2\).
A2x + 3y = −18
B2x + 3y = 30
C2x + 3y = −30
D2x + 3y = 18
Mathematics · Question Bank
Analytic Geometry
233 questions · page 12 of 12. Answer in your head first, then check the solution.
Find the center of the circle \(x^2 + y^2 + 16x + 20y + 155 = 0\).
A(−8, −10)
B(8, 10)
C(8, −10)
D(−8, 10)
Name the type of graph represented by \(x^2 - 4y^2 - 10x - 8y = 0\).
Acircle
Bparabola
Cellipse
Dhyperbola
Find the distance of the directrix from the center of an ellipse if its major axis is 10 and its minor axis is 8.
A8.1
B8.3
C8.5
D8.7
What is the slope of the linear equation \(3y - x = 9\)?
A1/3
B−3
C3
D9
For what value of k will the line \(kx + 5y = 2k\) have slope 3?
A5
B−5
C15
D−15
What conic section is described by the equation \(4x^2 - y^2 + 8x + 4y = 15\)?
Aparabola
Bhyperbola
Ccircle
Dellipse
If the general equation of the conic \(Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0\) has \(B^2 - 4AC \gt 0\), the equation describes
Aan ellipse
Ba hyperbola
Ca parabola
Da circle
The chord passing through the focus of the parabola and perpendicular to its axis is termed the
Aaxis
Blatus rectum
Cdirectrix
Dtranslated axis
Given a conic section, if \(B^2 - 4AC = 0\), it is called?
Acircle
Bparabola
Chyperbola
Dellipse
If the line \(3x - ky - 8 = 0\) passes through the point (−2, 4), then k is equal to
A−7/2
B−5/2
C−3/2
D−1/2
The line \(3x - 4y = 5\) is perpendicular to the line
A3x − 4y = 1
B4x − 3y = 1
C4x + 3y = 3
D3x + 4y = 0
Find the y-intercept of the line given by the equation \(7x + 4y = 8\).
A2
B−2
C3
D−3